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The chapter focuses on quantification as it figures in standard versions of the predicate calculus. These versions are straightforwardly reductive in that non-singular sentences must be re-cast into singular form if they are to receive representation. However, various non-singular sentences, including certain kinds of plural sentences, are refractory to representation in this form. Essentially singular forms of quantifier-expression must be distinguished from non-singular forms to lay the basis for sui generis non-singular forms of quantification, appropriate to both plural nouns and...

The chapter focuses on quantification as it figures in standard versions of the predicate calculus. These versions are straightforwardly reductive in that non-singular sentences must be re-cast into singular form if they are to receive representation. However, various non-singular sentences, including certain kinds of plural sentences, are refractory to representation in this form. Essentially singular forms of quantifier-expression must be distinguished from non-singular forms to lay the basis for sui generis non-singular forms of quantification, appropriate to both plural nouns and non-count nouns. The maxim ‘to be is to be the value of a variable’ must be rejected.